Home
Class 12
MATHS
int(5/2)^5 (sqrt((25-x^2)^3))/(x^4) dx...

`int_(5/2)^5 (sqrt((25-x^2)^3))/(x^4) dx`

A

`pi/3`

B

`(2pi)/(3)`

C

`(pi)/(6)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION

    MOTION|Exercise EXERCISE -2 (LEVEL-II)|11 Videos

  • DEFINITE INTEGRATION

    MOTION|Exercise EXERCISE -3|55 Videos

  • DEFINITE INTEGRATION

    MOTION|Exercise ELEMENTRAY EXERCISE|47 Videos

  • CONTINUITY

    MOTION|Exercise EXERCISE - 4 (LEVEL -II) (PREVIOUS YEAR JEE ADVANCED)|5 Videos

  • DETERMINANTS

    MOTION|Exercise EXERCISE-4 (LEVEL-II)|6 Videos

Similar Questions

Explore conceptually related problems

int_(-5)^(5)sqrt(25-x^(2))dx=

int_(-5)^(5)sqrt(25-x^(2))dx=

int sqrt((5-2x)^(3))dx

int_(2)^(5)(1)/(sqrt(5+4x-x^(2)))dx=

int_(0)^(3)5sqrt(1-(x^(2))/(9))dx

int(sqrt(5+x^(2)))/(x^(4))backslash dx=

int(dx)/(sqrt(5+4x-x^(2)))

int_(0)^(5)x^(2)(sqrt(5-x))^(7)dx

int sqrt(5-4x-x^(2))dx

int(x+3)/(sqrt(5-4x-x^(2)))*dx

MOTION-DEFINITE INTEGRATION -EXERCISE -2 (LEVEL-I)
  1. Let (d)/(dx) F(x)=(e^(sin x))/(x), x gt 0, If int(1)^(4) (3)/(x) ...

    Text Solution

    |

  2. 1/c int (a) ^(b) f ((x)/(c )) dx =

    Text Solution

    |

  3. int(5/2)^5 (sqrt((25-x^2)^3))/(x^4) dx

    Text Solution

    |

  4. If {:(f(x)=x", ...."x lt 1),(" "=x-1", ...." x ge 1","):} ...

    Text Solution

    |

  5. Suppose for every integer n, . underset(n)overset(n+1)intf(x)dx = n^(2...

    Text Solution

    |

  6. int (0) ^(pi) (1 + 2 cos x ) dx equal to :

    Text Solution

    |

  7. The value of int (-1) ^(3) (|x-2 |+[x]) dx is equal to (where [**] den...

    Text Solution

    |

  8. If underset(-1)overset(3//2)int|xsinpix|dx = (k)/(pi^(2)), then the va...

    Text Solution

    |

  9. int0^(10pi) |sin x| dx is

    Text Solution

    |

  10. The value of int (-1) ^(3) | 1- x ^(2) | dx is -

    Text Solution

    |

  11. rArrunderset(0)overset(oo)int[(2)/(e^(x))]dx (where [*] denotes the gr...

    Text Solution

    |

  12. int0^sqrt2 [x^2]dx

    Text Solution

    |

  13. If f (x) = int (0) ^(x) sin [2x] dx then f ( pi//2) is (where [**] de...

    Text Solution

    |

  14. f(x)=Minimum{tanx,cotx}AA x in(0,pi/2) Then int0^(pi/3)f(x)dx is equal...

    Text Solution

    |

  15. The value of int (1) ^(2) ([x ^(2) ]- [x] ^(2) dx is equal to (where [...

    Text Solution

    |

  16. If f(x)={e^(cosxsinx ,for|x|lt=2)2,ot h e r w i s e ,t h e nint(-2)^3f...

    Text Solution

    |

  17. The value of int0^(pi/3) [sqrt3 tanx]dx( where [.] denotes the greates...

    Text Solution

    |

  18. T h ev a l u eofint(-2)^1[x[1+cos((pix)/2)]+1]dx , where [.] denotes ...

    Text Solution

    |

  19. int (0)^(2) x ^(3) [1+ cos ""(pix)/(2)] dx is (where [**] denotes the ...

    Text Solution

    |

  20. Let f(x)=minimum {|x|,1-|x|,1/4} for xepsilonR then the value of int-1...

    Text Solution

    |